1053655680 has 256 divisors, whose sum is σ = 4187842560. Its totient is φ = 218910720.

The previous prime is 1053655667. The next prime is 1053655693. The reversal of 1053655680 is 865563501.

It is an interprime number because it is at equal distance from previous prime (1053655667) and next prime (1053655693).

It is a super-2 number, since 2×1053655680² = 2220380583992524800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144277 + ... + 151403.

It is an arithmetic number, because the mean of its divisors is an integer number (16358760).

Almost surely, 2^1053655680 is an apocalyptic number.

1053655680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093921280).

1053655680 is an abundant number, since it is smaller than the sum of its proper divisors (3134186880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053655680 is a wasteful number, since it uses less digits than its factorization.

1053655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 1053655680 is about 32460.0628465196. The cubic root of 1053655680 is about 1017.5745523876.

The spelling of 1053655680 in words is "one billion, fifty-three million, six hundred fifty-five thousand, six hundred eighty".